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2 years ago

10

Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much al

gae will be in the pond after 12 hours?

1 answer:

eimsori [14]2 years ago

7 0

If it doubles every 4 hours, in 12 hours you will have 3 doublings.
2 * 2 * 2 = 8
90*8 = 720 pounds of algae

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At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

ankoles [38]

Complete Question

A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

employers. If we interpret their claim as a percentile, what hourly wage must they offer employees with master's degrees?

Answer:

The value is $x = \$31.986$

Step-by-step explanation:

From the question we are told that they paid master's graduates more than 90% of all

Generally from the z-table the z-score for 90% is $z = 1.282$

This z-score can be mathematically represented as

$z = \frac{x - \mu }{\sigma}$

Here x is the hourly wage they offer employees with master's degrees

substituting $27.50 for $\mu$ and $3.50 for $\sigma$ we have

$1.282 = \frac{x - 27.50 }{3.50}$

=> $x = \$31.986$

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2 years ago

Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

kondor19780726 [428]

Answer:

f(x + 1) = Five-halves f(x) (A)

Question:

The complete question as found in brainly( ID:13525864) is stated below.

Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

Which is an equivalent representation?

f(x + 1) = Five-halvesf(x)

f(x) = Five-halvesf(x + 1)

f(x + 1) = Three-halvesf(x)

f(x) = Three-halvesf(x + 1)

Step-by-step explanation:

f(x) = (3/2)(5/2)^(x-1)

Where 3/2 = three-halves and 5/2 = (five-halves)

To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.

f(x) = (3/2)(5/2)^(x-1)

For x = 1

f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)

f(x) =(3/2)(1) = 3/2

For x = 2

f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)

f(x) =(3/2)(5/2)

So from the above assigned values

f(x=1) = 3/2

f(x=2) = f(x + 1) = f(1 + 1)

f(x + 1) = (3/2)(5/2)

Since f(x) = 3/2

f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)

From the options, an equivalent representation: f(x + 1) = Five-halves f(x)

(A)

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2 years ago

Asha runs 5 meters every 2 seconds. How far does asha run after 3 seconds? After 5 seconds?

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Answer:

2 1/2

Step-by-step explanation:

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Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probab

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Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? Assume that no players over 6 feet tall have good aim. A. 7/15 B. 6/15 C. 7/9 D. 5/9

The Answer Is

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2 years ago